Title of article
On the positivity of some bilinear functionals in Sobolev spaces
Author/Authors
Draux، نويسنده , , André and Elhami، نويسنده , , Charaf، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
41
From page
203
To page
243
Abstract
The positivity of a bilinear functional aa(f,g)=∑Nm=0λmC(m)(fm,gm) is studied as a function of coefficients λm. The concerned cases are those of Laguerre, Gegenbauer and Jacobi for c(m) = c(0), m = 1,…,N. The domain λmm=1N where a is positive definite, is given. As a consequence, when N = 1, the corresponding Markov-Bernstein inequalities are given.
Keywords
Formal orthogonal polynomial , Gegenbauer , Laguerre , Jacobi polynomial , Gegenbauer-Sobolev , Jacobi-Sobolev polynomial , Definite inner product , Zeros of polynomial , Markov-Bernstein inequality , Laguerre-Sobolev
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1999
Journal title
Journal of Computational and Applied Mathematics
Record number
1550034
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